Education Technology

# Activities

• ##### Subject Area

• Math: Middle Grades Math: Geometry
• Math: Middle Grades Math: Measurement
• Math: Middle Grades Math: Problem Solving
• Math: PreAlgebra: Geometry
• Math: PreAlgebra: Measurement

6-8

60 Minutes

• ##### Device
• TI-15 Explorer™
• ##### Other Materials
This is Activity 11 from the EXPLORATIONS Book:
Developing Problem-Solving Skills with the TI-15

The following materials are required for this activity:
• Envelopes (Legal and Letter size)
• Playing cards
• Chart paper
• Pens
• Metric rulers
• Meter sticks

## Golden Rectangles

#### Activity Overview

Students measure rectangles and calculate ratio between the sides. They compare the ratio to the Golden Ratio (1.618).

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 73 - 79 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

Follow the activity procedures:

• Calculate the ratio of the height to the arm span, and compare it with the Golden Ratio [1.618]
• Find the ratios of other body parts, and decide which one is closer to the Golden Ratio

• Identify and measure some rectangles and rectangular objects like envelopes and playing cards
• Calculate the ratio between the long side and the short side of each rectangle
• Identify the rectangles whose ratio is closest to the Golden Ratio
• #### After the Activity

Students collect more information on the Golden Ratio and Fibonacci Series. They study art, architecture, and nature for these numbers.

• Review student results
• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary